   Chapter 13.4, Problem 13.9CYU

Chapter
Section
Textbook Problem

A 1.40-g sample of polyethylene, a common plastic, is dissolved in enough organic solvent to give 100.0 mL of solution. What is the average molar mass of the polymer if the measured osmotic pressure of the solution is 1.86 mm Hg at 25 °C?

Interpretation Introduction

Interpretation: The molar mass of polymer polyethylene has to be identified if the measured osmotic pressure of the solution is 1.86mmHg .

Concept introduction:

Osmotic pressure: The pressure created by the column of solution for the system at equilibrium is a measure of the osmotic pressure.

Osmotic pressure, Π = cRT,where,cismolar concentration,Ris Gas constant,Tisaabsolute temperature.

Explanation

Given data:

Molar Mass of polymer (solute) = ?Mass of polymer = 1.40 g Volume of chloroform solution = 100 mlT = 25oC = 25oC+273 = 298 K

Concentration can be calculated using the osmotic pressure equation

Osmotic pressure, Π = cRT

Calculation of Concentration:_Osmotic pressure, Π = cRTConcentration,c = ΠRT (1.86 mm Hg) (1atm /760 mmHg)(0.08206 L.atm/mol.K)(298 K) =  1.0× 10-4 mol/L

Calculationof no.of moles:_c = nVn =(1

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